On two functions of a matrix with positive definite hermitian part Original Research Article

Let A be a square complex matrix with positive definite Hermitian part H(A) ≡ (A + AH)/2, and let f(A), g(A) be two functions defined by imagef(A) triple bond; length as m-dash H(A−1−1, g(A) triple bond; length as m-dash A−AH This paper derives new perturbation bounds for f(A), and studies the distribution and perturbation of the eigenvalues of f(A) and g(A).